38. The shape of the cross section of a canal is a trapezium. If the canal is
10 m wide at the top, 6 m wide at the bottom and the area of its cross
section is 640 m², find the depth of the canal.
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3
Answer:
Heron's Formula. The cross-section of a canal is in the shape of a trapezium. If the canal is 12 m wide at the top and 8 m wide at the bottom and the area of its cross-section is 84 m2, determine its depth. Hence, the depth of the canal is 8.4 m.
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#Red official
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Area of the canal = 640 m²
Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between them) 640 = 1/2 x (10+6) x h
1280/16 = h
h = 80 m
Therefore, the depth of the canal is 80 m.
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